All categories

3 years ago

Find product of :(2x-y)(2x+3y).

Mathematics

1 answer:

Ierofanga [76]3 years ago

7 0

Answer: 4x² + 4xy - 3y²

Concept:

When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:

First, which means multiplying the first terms together;
Outer, which means that we multiply the outermost terms when the binomials are placed side by side;
Inner, which means multiply the innermost terms together;
Last, which means that we multiply the last term in each binomial together.

Solve:

Given

(2x - y) (2x + 3y)

Expand parentheses and apply the FOIL method

=4x² + 6xy - 2xy - 3y²

Combine like terms

=4x² + (6xy - 2xy) - 3y²

= $\boxed{4x^2+4xy-3y^2}$

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in

Can someone tell me the graph pls i’ll give you brainlist and points plz

Norma-Jean [14]

Answer: (0,-2)

hope that answered your question

5 0

2 years ago

The function f(x) = 2x + 5 represents the amount of water in a bucket after x minutes. Which best interprets this function?

MAXImum [283]

F(x) = 2x + 5

the bucket starts with 5 gallons of water and is being filled at a rate of 2 gallons per minute

7 0

3 years ago

HELLLP MEEEEEEEEEEE plz

olga nikolaevna [1]

1) The ratio of used books to all books is 6:14

2) The ratio of used books to new books is 6:8

8 0

3 years ago

Read 2 more answers

Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house

LuckyWell [14K]

Using the normal distribution and the central limit theorem, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

Normal Probability Distribution

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
By the Central Limit Theorem, for n instances of a normal variable, the mean is $n\mu$ while the standard deviation is $s = \sigma\sqrt{n}$ .

In this problem:

Mean of 4 candies, hence $\mu = 4$ .
Standard deviation of 1.5 candies, hence $\sigma = 1.5$ .
She visited 35 houses, hence $n = 35, \mu = 35(4) = 140, s = 1.5\sqrt{4} = 3$

The probability is the p-value of Z when X = 122, hence:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{122 - 140}{3}$

$Z = -6$

$Z = -6$ has a p-value of 0.

Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

A similar problem is given at brainly.com/question/24663213

6 0

2 years ago

Jack is mowing a lawn that has a shed. needs to know area of lawn to mow. dimensions of yard are 5x by 13 x-4 . she'd are 2x by

Elena-2011 [213]

The diagram of the lawn and the shed is shown below.

The area of the lawn needed to be mowed equals to the area of the yard minus the area of the shed

The area of the yard = $(5x)(13x-4) = 65 x^{2} -20x$
The area of the shed = $(2x)(2x+4)=4 x^{2} +8x$

The area of the lawn = $65 x^{2} -20x-(4 x^{2} +8x)$
The area of the lawn = $65 x^{2} -20x-4 x^{2} -8x$
The area of the lawn = $61 x^{2} -28x$

5 0

2 years ago

Find product of :(2x-y)(2x+3y).​

Find product of :(2x-y)(2x+3y).